Mathematical Aspects of Reacting and Diffusing Systems

Language: English

Published by Springer, Springer Vieweg Mär 1979, 1979

3540091173 / 9783540091172

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This item is printed on demand - Print on Demand Titel. Neuware -Modeling and analyzing the dynamics of chemical mixtures by means of differ- tial equations is one of the prime concerns of chemical engineering theorists. These equations often take the form of systems of nonlinear parabolic partial d- ferential equations, or reaction-diffusion equations, when there is diffusion of chemical substances involved. A good overview of this endeavor can be had by re- ing the two volumes by R. Aris (1975), who himself was one of the main contributors to the theory. Enthusiasm for the models developed has been shared by parts of the mathematical community, and these models have, in fact, provided motivation for some beautiful mathematical results. There are analogies between chemical reactors and certain biological systems. One such analogy is rather obvious: a single living organism is a dynamic structure built of molecules and ions, many of which react and diffuse. Other analogies are less obvious; for example, the electric potential of a membrane can diffuse like a chemical, and of course can interact with real chemical species (ions) which are transported through the membrane. These facts gave rise to Hodgkin's and Huxley's celebrated model for the propagation of nerve signals. On the level of populations, individuals interact and move about, and so it is not surprising that here, again, the simplest continuous space-time interaction-migration models have the same g- eral appearance as those for diffusing and reacting chemical systems.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 196 pp. Englisch.

Seller Inventory # 9783540091172

Title
Mathematical Aspects of Reacting and Diffusing Systems
Author
P. C. Fife
Publisher
Springer, Springer Vieweg Mär 1979
Publication year
1979
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3540091173
ISBN 13
9783540091172
Item weight
349 grams
Dimensions
244x170x11 mm

buchversandmimpf2000

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